A d-dimensional zero-one matrix A avoids another d-dimensional zero-one matrix P if no submatrix of A can be transformed to P by changing some ones to zeroes. Let f(n, P, d) denote the maximum number of ones in a d-dimensional n × · · · × n zero-one matrix that avoids P . Fox proved for n sufficiently large that f(n, P, 2) = 2k Θ(1) n for almost all k × k permutation matrices P . We extend this...

operating parameters and membrane characteristics strongly affect the performance of electrodialysis reversal systems. the most impactful factors are applied voltage, flow rate, temperature, initial feed composition, and ion exchange membrane characteristics; the ph of the feed also has an effect, although to a lesser extent. to determine more precisely how all of these factors impact performan...

Wigner’s little groups are the subgroups of the Lorentz group whose transformations leave the momentum of a given particle invariant. They thus define the internal space-time symmetries of relativistic particles. These symmetries take different mathematical forms for massive and for massless particles. However, it is shown possible to construct one unified representation using a graphical descr...

Misrepresenting private information is often costly, for technological, legal, or psychological reasons. I develop a model of strategic information transmission based on Crawford and Sobel (1982) (CS), but with a convex cost of lying or misreporting. There are three main results. First, I prove that a sequence of monotone equilibria converges to a CS equilibrium as the cost of misreporting shri...

BACKGROUND Evidence regarding the effectiveness of incentive spirometry (ISy) on postoperative pulmonary outcomes after thoracic, cardiac and abdominal surgery remains inconclusive. This is attributed to various methodological issues inherent in ISy trials. Patient compliance has also been highlighted as a possible confounding factor; however, the status of evidence regarding patient compliance...

A smartphone-based tidal volume (V(T)) estimator was recently introduced by our research group, where an Android application provides a chest movement signal whose peak-to-peak amplitude is highly correlated with reference V(T) measured by a spirometer. We found a Normalized Root Mean Squared Error (NRMSE) of 14.998% ± 5.171% (mean ± SD) when the smartphone measures were calibrated using spirom...